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Finding the Fourth Proportional to 614.08, 847.77 and 473.88

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Solution

The fourth proportional to 614.08, 847.77 and 473.88 is: 654.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.08 : 847.77 = 473.88 : x
  2. Step 2: Convert to fraction form
    614.08/847.77 = 473.88/x
  3. Step 3: Cross multiply
    614.08x = 847.77 × 473.88
  4. Step 4: Simplify right side
    614.08x = 401,742.65
  5. Step 5: Solve for x
    x = 401,742.65/614.08
  6. Step 6: Final answer
    x = 654.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.